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Finding the Third Proportional to 52,017.50 and 78,485.50

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Solution

The third proportional to 52,017.50 and 78,485.50 is: 118,421.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,017.50 : 78,485.50 = 78,485.50 : x
  2. Step 2: Convert to fraction form
    52,017.50/78,485.50 = 78,485.50/x
  3. Step 3: Cross multiply
    52,017.50x = 78,485.50 × 78,485.50
  4. Step 4: Simplify right side
    52,017.50x = 6,159,973,710.25
  5. Step 5: Solve for x
    x = 6,159,973,710.25/52,017.50
  6. Step 6: Final answer
    x = 118,421.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.